"Jesus replied, "I am the bread of life. Whoever comes to me will never be hungry again. Whoever believes in me will never be thirsty."
John 6:35, NLT
The setting of this first "I Am" statement of Jesus is important. The day before Jesus spoke this He had performed the miracle of feeding the five thousand. The people in Jesus' audience had been filled with Messianic hope and wanted to make Jesus their king right then and there. Jesus, aware of this, took off by boat that night to the other side of the Sea of Galilee, to Capernaum. But the next day the people sought and found Him there. Immediately Jesus admonished them about their error and called them to seek the right food. He said to them, "Labor not for the meat which perisheth, but for that meat which endureth to everlasting life, which the Son of man shall give unto you." It was this which became the center of the entire discourse of Jesus recorded in John 6. Jesus is explaining to the people the spiritual significance of His miracle. Their hearts were on the earthly, on the physical benefits they could receive if Jesus would be their king. Jesus must, and He does, explain to them who and what He really is. He is the great I AM, the very revelation of Jehovah God come down to save His people.
Read more in Context here - http://www.prca.org/refwitness/1997/1997sep14.html